Solved: Roots of a quadratic equation that is almost

Chapter 2, Problem 21AAE

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QUESTION:

PROBLEM 21AAE

Roots of a quadratic equation that is almost linear The equation where a is a constant, has two roots if one positive and one negative:

a. What happens to ?

b. What happens to

c. Support your conclusions by graphing as functions of a. Describe what you see.

d. For added support, graph simultaneously for a = 1, 0.5, 0.2, 0.1 and 0.05.

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QUESTION:

PROBLEM 21AAE

Roots of a quadratic equation that is almost linear The equation where a is a constant, has two roots if one positive and one negative:

a. What happens to ?

b. What happens to

c. Support your conclusions by graphing as functions of a. Describe what you see.

d. For added support, graph simultaneously for a = 1, 0.5, 0.2, 0.1 and 0.05.

ANSWER:

SOLUTION

Step 1

Here, we have to find the following.

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